Oh, what a happy little number we have here! When we round 45419 to the nearest 10000, we see that it's closest to 50000. Just imagine that number as a beautiful mountain in your painting, standing tall and proud. Remember, there are no mistakes in rounding, just happy little approximations.
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When rounding 45419 to the nearest 10000, you look at the digit in the thousands place, which is 4. The digit to its right, in the hundreds place, is 5, so you round up the thousands digit to 5. Therefore, 45419 rounded to the nearest 10000 is 50000.